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A272284 Numbers n such that 43*n^2 - 537*n + 2971 is prime. 11

%I #10 Oct 12 2018 00:48:09

%S 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,

%T 26,27,28,29,30,31,32,33,34,36,37,38,39,40,42,43,44,45,46,47,49,50,51,

%U 55,56,57,60,64,67,68,69,70,71,72,73,74,76,77,79,80,81

%N Numbers n such that 43*n^2 - 537*n + 2971 is prime.

%C 35 is the smallest number not in this sequence.

%H G. C. Greubel, <a href="/A272284/b272284.txt">Table of n, a(n) for n = 1..10000</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/Prime-GeneratingPolynomial.html">Prime-Generating Polynomials</a>

%e 4 is in this sequence since 43*4^2 - 537*4 + 2971 = 688-2148+2971 = 1511 is prime.

%t Select[Range[0, 100], PrimeQ[43#^2 - 537# + 2971] &]

%o (PARI) lista(nn) = for(n=0, nn, if(ispseudoprime(43*n^2 - 537*n + 2971), print1(n, ", "))); \\ _Altug Alkan_, Apr 24 2016

%Y Cf. A050268, A050267, A005846, A007641, A007635, A048988, A050265, A050266.

%Y Cf. A271980, A272030, A272074, A272075, A272160, A271144, A272285.

%K nonn

%O 1,3

%A _Robert Price_, Apr 24 2016

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